Reflection is a wave property. It is not appropriate to explain relfection using quantum theory. Instead, reflection can be explained successfully by Huygen's Principle, and also by Maxwell's Electromagnetic Theory when treating light as electromagentic waves.
Be aware that in using quantum theory, a photon has no rest mass. Hence, it doesn't not require huge energy to "accelerate" a photon to the speed of light.
Once a photon is produced, it already possesses the speed of light.